To take a taxi it costs $3.00 plus an additional $2.00 per mile traveled. You spent exactly $20 on a taxi which includes the $1 tip you left. How many miles did you travel?

8 Miles

Step-by-step explanation:

Start by creating an equation based off what you know. To start we know it costs $3  just to get a ride + $2 for ever mile we travel (represent this using x)+ the $1 tip we left=$20.

3+2x+1=20

Now you add the like terms together(3+1)

2x+4=20   Subtract the 4 from both sides.

    -4   -4

2x=16       Now you just divide each side by 2

_    _

2    2

x=8

Don't forget your label (miles)

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240